{"id":"https://openalex.org/W3084657267","doi":"https://doi.org/10.1007/s00454-020-00241-9","title":"Tverberg-Type Theorems with Altered Intersection Patterns (Nerves)","display_name":"Tverberg-Type Theorems with Altered Intersection Patterns (Nerves)","publication_year":2020,"publication_date":"2020-09-08","ids":{"openalex":"https://openalex.org/W3084657267","doi":"https://doi.org/10.1007/s00454-020-00241-9","mag":"3084657267"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-020-00241-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-020-00241-9","pdf_url":null,"source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete & Computational Geometry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://escholarship.org/uc/item/5b6972vn","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055755657","display_name":"Jes\u00fas A. De Loera","orcid":"https://orcid.org/0000-0002-9556-1112"},"institutions":[{"id":"https://openalex.org/I84218800","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69","country_code":"US","type":"education","lineage":["https://openalex.org/I84218800"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jes\u00fas A. De Loera","raw_affiliation_strings":["Department of Mathematics, University of California, Davis, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, Davis, USA","institution_ids":["https://openalex.org/I84218800"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050402276","display_name":"Thomas A. Hogan","orcid":"https://orcid.org/0000-0001-7547-7151"},"institutions":[{"id":"https://openalex.org/I84218800","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69","country_code":"US","type":"education","lineage":["https://openalex.org/I84218800"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Thomas A. Hogan","raw_affiliation_strings":["Department of Mathematics, University of California, Davis, USA"],"raw_orcid":"https://orcid.org/0000-0001-7547-7151","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, Davis, USA","institution_ids":["https://openalex.org/I84218800"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018378648","display_name":"D\u00e9borah Oliveros","orcid":"https://orcid.org/0000-0002-3330-3230"},"institutions":[{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Deborah Oliveros","raw_affiliation_strings":["Instituto de Matem\u00e1ticas, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Mexico City, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1ticas, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Mexico City, Mexico","institution_ids":["https://openalex.org/I8961855"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081883519","display_name":"Dominic Yang","orcid":"https://orcid.org/0000-0002-9453-2299"},"institutions":[{"id":"https://openalex.org/I84218800","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69","country_code":"US","type":"education","lineage":["https://openalex.org/I84218800"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dominic Yang","raw_affiliation_strings":["Department of Mathematics, University of California, Davis, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, Davis, USA","institution_ids":["https://openalex.org/I84218800"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5055755657"],"corresponding_institution_ids":["https://openalex.org/I84218800"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.15552388,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"65","issue":"3","first_page":"916","last_page":"937"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.823984682559967},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7581318616867065},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.7475765347480774},{"id":"https://openalex.org/keywords/simplex","display_name":"Simplex","score":0.6494463682174683},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.588993489742279},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.5869682431221008},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.573438823223114},{"id":"https://openalex.org/keywords/simplicial-complex","display_name":"Simplicial complex","score":0.5274118185043335},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5265581607818604},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.45469701290130615},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4527667760848999},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12107124924659729},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10726472735404968}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.823984682559967},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7581318616867065},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.7475765347480774},{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.6494463682174683},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.588993489742279},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.5869682431221008},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.573438823223114},{"id":"https://openalex.org/C187929450","wikidata":"https://www.wikidata.org/wiki/Q994399","display_name":"Simplicial complex","level":2,"score":0.5274118185043335},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5265581607818604},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.45469701290130615},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4527667760848999},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12107124924659729},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10726472735404968},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00454-020-00241-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-020-00241-9","pdf_url":null,"source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete & Computational Geometry","raw_type":"journal-article"},{"id":"pmh:oai:escholarship.org:ark:/13030/qt5b6972vn","is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/5b6972vn","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Discrete & Computational Geometry, vol 65, iss 3","raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:escholarship.org:ark:/13030/qt5b6972vn","is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/5b6972vn","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Discrete & Computational Geometry, vol 65, iss 3","raw_type":"article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3735441274","display_name":null,"funder_award_id":"DMS-1522158","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7096521375","display_name":null,"funder_award_id":"DMS-1818969","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W16939786","https://openalex.org/W1481140196","https://openalex.org/W1487872891","https://openalex.org/W1517921658","https://openalex.org/W1520007244","https://openalex.org/W1594924988","https://openalex.org/W1744063094","https://openalex.org/W1977098616","https://openalex.org/W2011430131","https://openalex.org/W2018556604","https://openalex.org/W2054397115","https://openalex.org/W2056896012","https://openalex.org/W2063493751","https://openalex.org/W2127163760","https://openalex.org/W2134402767","https://openalex.org/W2163604819","https://openalex.org/W2167816765","https://openalex.org/W2494351895","https://openalex.org/W2531504305","https://openalex.org/W2803138228","https://openalex.org/W2951040153","https://openalex.org/W2962962151","https://openalex.org/W2963327863","https://openalex.org/W2964204159","https://openalex.org/W4252017042","https://openalex.org/W4254205555"],"related_works":["https://openalex.org/W2951625278","https://openalex.org/W2952776759","https://openalex.org/W2766471340","https://openalex.org/W4239044009","https://openalex.org/W2943273584","https://openalex.org/W3092318790","https://openalex.org/W2882991514","https://openalex.org/W2324738504","https://openalex.org/W2281640960","https://openalex.org/W2621736927"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}